Displaying similar documents to “One-to one Carathéodory representation theorem for multifunctions with uncountable values”

Functionally Countable Spaces and Baire Functions

Choban, M. (1997)

Serdica Mathematical Journal

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The concept of the distinguished sets is applied to the investigation of the functionally countable spaces. It is proved that every Baire function on a functionally countable space has a countable image. This is a positive answer to a question of R. Levy and W. D. Rice.

Continuous-, derivative-, and differentiable-restrictions of measurable functions

Jack Brown (1992)

Fundamenta Mathematicae

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We review the known facts and establish some new results concerning continuous-restrictions, derivative-restrictions, and differentiable-restrictions of Lebesgue measurable, universally measurable, and Marczewski measurable functions, as well as functions which have the Baire properties in the wide and restricted senses. We also discuss some known examples and present a number of new examples to show that the theorems are sharp.

On measurable relation

C. Himmelberg, T. Parthasarathy, F. Van Vleck (1981)

Fundamenta Mathematicae

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